Question

Options: y= -2x - 6 y= 2/3x + 6 y= -2/3x + 6 y=2x + 6

Answer 1

Answer:

y = - $\frac{2}{3}$ x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 2) ← 2 points on the line

m = $\frac{2-6}{6-0}$ = $\frac{-4}{6}$ = - $\frac{2}{3}$

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = - $\frac{2}{3}$ x + 6 ← equation of line